BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory

Abstract

We study BPS vortices in the mass-deformed non-relativistic ${\C N}=6$ $U(N{)}_k\times U(N{)}_{-k}$ Chern-Simons-matter theory. We focus on the massive deformation that preserves the maximal ${\C N}=6$ supersymmetry, and consider a non-relativistic limit that carry 14 supercharges. In this non-relativistic field theory we find Jackiw-Pi type exact vortex solutions combined with $S^3$ fuzzy sphere geometry. We analyse their properties and show that they preserve one dynamical, one conformal and five kinematical supersymmetries among the full super Schrödinger symmetry.

22 pages, 3 figures, typos corrected, reference added

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Cited by in corpus (1)

• Non-Abelian Chern-Simons vortices with generic gauge groups